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Elements of the Representation Theory of the Jacobi Group

Elements of the Representation Theory of the Jacobi Group

Hardcover

Series: Progress in Mathematics, Book 163

General MathematicsGeometry

ISBN10: 3764359226
ISBN13: 9783764359225
Publisher: Springer Nature
Published: Jul 1 1998
Pages: 236
Weight: 1.16
Height: 0.68 Width: 6.37 Depth: 9.44
Language: English

The book under review collects and regroups results on the representation theory of the Jacobi group of lowest degree mostly due to R.Berndt and his coworkers J.Homrighausen and R.Schmidt. The book is very well written and gives an up to date collection of the results known. It will be quite useful for everyone working in the field. The first chapter introduces the Jacobi group GJ, a semi-direct product of SL(2) with a Heisenberg group, and describes different possible coordinates on the group, the Haar measure, the Lie algebra, as well as, over the reals, a (generalized) Iwasawa decomposition and the associated homogeneous space...

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General Mathematics